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14608488960 = 29325131719151
BaseRepresentation
bin11011001101011101…
…11101101000000000
31101201002110010111200
431212232331220000
5214404233121320
610413330341200
71025004051552
oct154656755000
941632403450
1014608488960
116217124a7a
1229b842a800
1314ba6ba610
149c822d4d2
155a777b290
hex366bbda00

14608488960 has 960 divisors, whose sum is σ = 61128587520. Its totient is φ = 3185049600.

The previous prime is 14608488959. The next prime is 14608488967. The reversal of 14608488960 is 6988480641.

14608488960 is a `hidden beast` number, since 1 + 460 + 8 + 48 + 89 + 60 = 666.

14608488960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 14608488897 and 14608488906.

It is not an unprimeable number, because it can be changed into a prime (14608488967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96744885 + ... + 96745035.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 214608488960 is an apocalyptic number.

14608488960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14608488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

14608488960 is an abundant number, since it is smaller than the sum of its proper divisors (46520098560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14608488960 is a wasteful number, since it uses less digits than its factorization.

14608488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 14608488960 in words is "fourteen billion, six hundred eight million, four hundred eighty-eight thousand, nine hundred sixty".